Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 22, 407, 757, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 407, 757, 993 is 1
GCD(22, 407, 757, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 407, 757, 993 is 1
GCD(22, 407, 757, 993) = 1
Given Input numbers are 22, 407, 757, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 22, 407, 757, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 407, 757, 993 is 1.
Therefore, GCD of numbers 22, 407, 757, 993 is 1
Given Input Data is 22, 407, 757, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 407 is 11 x 37
Prime Factorization of 757 is 757
Prime Factorization of 993 is 3 x 331
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 407) = 814
GCD(22, 407) = ( 22 x 407 ) / 814
GCD(22, 407) = 8954 / 814
GCD(22, 407) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 757) = 8327
GCD(11, 757) = ( 11 x 757 ) / 8327
GCD(11, 757) = 8327 / 8327
GCD(11, 757) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
GCD of 22, 407, 757, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 407, 757, 993?
GCD of 22, 407, 757, 993 is 1
2. Where do I get the detailed procedure to find GCD of 22, 407, 757, 993?
You can find a detailed procedure to find GCD of 22, 407, 757, 993 on our page.
3. How to find GCD of 22, 407, 757, 993 on a calculator?
You can find the GCD of 22, 407, 757, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.